d/dx(sinx)
To find the derivative of sin(x), we can use the chain rule of differentiation
To find the derivative of sin(x), we can use the chain rule of differentiation.
The chain rule states that if we have a composition of functions, say y = f(g(x)), then the derivative of y with respect to x is given by the product of the derivative of f with respect to g and the derivative of g with respect to x.
In this case, we can consider sin(x) as the outer function and x as the inner function.
Let’s differentiate sin(x) step by step:
1. Identify the outer function: The outer function is sin(x).
2. Identify the inner function: The inner function is x.
3. Differentiate the outer function: The derivative of sin(x) with respect to its input is cos(x). So, d/dx(sin(x)) = cos(x).
Therefore, the derivative of sin(x) with respect to x is cos(x).
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